Friday

April 18, 2014

April 18, 2014

Posted by **Travis** on Tuesday, December 2, 2008 at 9:24pm.

2sin2x - sqrt(2) = 0

sin2x = sqrt(2)/2

I'm confused by the double angle. Please help.

- Trig -
**Reiny**, Tuesday, December 2, 2008 at 9:50pmso continue...

sin2x =√2/2

2x = 45º or 135º

x = 22.5º or x = 67.5º

in radians: x = pi/8 or 3pi/8

- Trig -
**Travis**, Tuesday, December 2, 2008 at 10:03pmBut my calculator also shows 9pi/8 and 11pi/8. Why do you have to add pi?

- Trig -
**Reiny**, Wednesday, December 3, 2008 at 8:22amahh, smart calculator you got there.

the period of sin2x is pi or 180 degrees

so we have to add pi to each of our answers until we are no longer in the given domain.

so x = pi/8, 3pi/8, 9pi/8 and 11pi/8

I should have taken care of that in my first post , sorry

- lmuc odhq -
**lmuc odhq**, Thursday, January 1, 2009 at 1:29pmfgndboqt fwhgdlqyj czefhiko zykom piesg kcqiruf kmelqpvz

- Trig -
- hqbs xbtak -
**hqbs xbtak**, Thursday, January 1, 2009 at 12:21pmfnylh whoxd gmcdzsh oavjytqm xmugn ofnksecpv pjrkhy

**Related Questions**

math - I have to find an exact solutions on the interval [0,pi) for both of ...

Calculus - I need to find the exact solution to: 2sin2x = sqrt(x)on the interval...

interval - Find the exact solutions on the interval [0,pi]. 2sin2x = sqrt(x) ...

Trig - Find all solutions of the equation in the interval [0,2pi). sqrt(3)...

trip - for sin2x+cosx=0, use double-angle or half-angle formula to simplify the ...

trig - 3tan(3x) = sqrt(3) Solve the equation for exact solutions of the interval...

Math Help please!! - Could someone show me how to solve these problems step by ...

Calculus - 2sin(2theta) + sqrt(3) = 0 interval (0,2pi) How do I solve this? I ...

pre cal 2 - find the exact solutions in the interval [0,2pi), sin4x=-2sin2x

Math - How do you find a square root of a number that's not a perfect square? I'...